BS Instituto Tecnologico de Aeronautica, Brazil 1984
MS Pontificia Universidade Catolica-Rio de Janeiro, Brazil 1989
PhD Courant Institute, New York University, Advisor: Olof Widlund 1994
Postdoc University of Colorado at Boulder Advisors: Xiao-Chuan Cai and Charbel Farhat 1994-1998
Research Interests
Numerical Analysis
Domain Decomposition
Finite Element Methods
Scholarly Work
Sarkis, Marcus Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements. Numer. Math. 77 (1997), no. 3, 383–406
Dryja, Maksymilian; Galvis, Juan; Sarkis, Marcus The analysis of a FETI-DP preconditioner for a full DG discretization of elliptic problems in two dimensions. Numer. Math. 131 (2015), no. 4, 737–770
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. Generalized multiscale finite element method. Symmetric interior penalty coupling. J. Comput. Phys. 255 (2013), 1–15
Dryja, Maksymilian; Galvis, Juan; Sarkis, Marcus A FETI-DP preconditioner for a composite finite element and discontinuous Galerkin method. SIAM J. Numer. Anal. 51 (2013), no. 1, 400–422
Galvis, Juan; Sarkis, Marcus Regularity results for the ordinary product stochastic pressure equation. SIAM J. Math. Anal. 44 (2012), no. 4, 2637-2665
Galvis, Juan; Sarkis, Marcus A deluxe FETI-DP preconditioner for a composite finite element and DG method. Comput. Methods Appl. Math. 15 (2015), no. 4, 465–482